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44312230101320 = 2355971793347543
BaseRepresentation
bin10100001001101001111101…
…01111000000000101001000
312210220012121111122021000022
422010310332233000011020
521302002421401220240
6234124431341000012
712222311241113336
oct1204647657000510
9183805544567008
1044312230101320
1113134790747095
124b78010253008
131b95818c1ca2c
14ad2a1ad54b56
1551c9e1e099b5
hex284d3ebc0148

44312230101320 has 128 divisors (see below), whose sum is σ = 104122008576000. Its totient is φ = 16961593608960.

The previous prime is 44312230101281. The next prime is 44312230101331. The reversal of 44312230101320 is 2310103221344.

It is a self number, because there is not a number n which added to its sum of digits gives 44312230101320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11563469 + ... + 14911011.

It is an arithmetic number, because the mean of its divisors is an integer number (813453192000).

Almost surely, 244312230101320 is an apocalyptic number.

44312230101320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44312230101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52061004288000).

44312230101320 is an abundant number, since it is smaller than the sum of its proper divisors (59809778474680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44312230101320 is a wasteful number, since it uses less digits than its factorization.

44312230101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347763 (or 3347759 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 44312230101320 its reverse (2310103221344), we get a palindrome (46622333322664).

The spelling of 44312230101320 in words is "forty-four trillion, three hundred twelve billion, two hundred thirty million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 71 79 118 142 158 236 284 295 316 355 395 472 568 590 632 710 790 1180 1420 1580 2360 2840 3160 4189 4661 5609 8378 9322 11218 16756 18644 20945 22436 23305 28045 33512 37288 41890 44872 46610 56090 83780 93220 112180 167560 186440 224360 330931 661862 1323724 1654655 2647448 3309310 3347543 6618620 6695086 13237240 13390172 16737715 26780344 33475430 66950860 133901720 197505037 237675553 264455897 395010074 475351106 528911794 790020148 950702212 987525185 1057823588 1188377765 1322279485 1580040296 1901404424 1975050370 2115647176 2376755530 2644558970 3950100740 4753511060 5289117940 7900201480 9507022120 10578235880 14022857627 15602897923 18776368687 28045715254 31205795846 37552737374 56091430508 62411591692 70114288135 75105474748 78014489615 93881843435 112182861016 124823183384 140228576270 150210949496 156028979230 187763686870 280457152540 312057958460 375527373740 560914305080 624115916920 751054747480 1107805752533 2215611505066 4431223010132 5539028762665 8862446020264 11078057525330 22156115050660 44312230101320